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Finding the Third Proportional to 170.24 and 261.80

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Solution

The third proportional to 170.24 and 261.80 is: 402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.24 : 261.80 = 261.80 : x
  2. Step 2: Convert to fraction form
    170.24/261.80 = 261.80/x
  3. Step 3: Cross multiply
    170.24x = 261.80 × 261.80
  4. Step 4: Simplify right side
    170.24x = 68,539.14
  5. Step 5: Solve for x
    x = 68,539.14/170.24
  6. Step 6: Final answer
    x = 402.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.